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Finding the Fourth Proportional to 509.11, 762.35 and 436.46

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Solution

The fourth proportional to 509.11, 762.35 and 436.46 is: 653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 762.35 = 436.46 : x
  2. Step 2: Convert to fraction form
    509.11/762.35 = 436.46/x
  3. Step 3: Cross multiply
    509.11x = 762.35 × 436.46
  4. Step 4: Simplify right side
    509.11x = 332,729.29
  5. Step 5: Solve for x
    x = 332,729.29/509.11
  6. Step 6: Final answer
    x = 653.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.